I am sorry that the author(of the contradiction)'s response is an expression of his personal dissatisfaction with the Qur'an more than it is a logical argument.
Certainly that author, himself, could see (and in fact did point out) a resolution to the proposed contradiction. Ironically, he then decides to criticize God's character because he did not approve of a man's wife being called "an old women." As if being an old women and not being mentioned by name or family relationship is demeaning somehow. Haven't you ever heard a story where the characters are referenced in many ways? In fact, when you consider that she was among those left behind, God is even then the most Kind. God doesn't speak ill words about her, but only states the facts of her situation.
So how do you reckon the fate of Lot's wife within the Biblical story? Let's look in Genesis 19...
[15] When morning dawned, the angels urged Lot, saying, "Arise, take your wife and your two daughters who are here, lest you be consumed in the punishment of the city."
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[24] Then the LORD rained on Sodom and Gomor'rah brimstone and fire from the LORD out of heaven;
[25] and he overthrew those cities, and all the valley, and all the inhabitants of the cities, and what grew on the ground.
[26] But Lot's wife behind him looked back, and she became a pillar of salt.
Sounds pretty similar to the Qur'an. Do you then question God's character in the Bible?